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Finding the Fourth Proportional to 7,678.40, 11,517.78 and 2,748.40

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Solution

The fourth proportional to 7,678.40, 11,517.78 and 2,748.40 is: 4,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.40 : 11,517.78 = 2,748.40 : x
  2. Step 2: Convert to fraction form
    7,678.40/11,517.78 = 2,748.40/x
  3. Step 3: Cross multiply
    7,678.40x = 11,517.78 × 2,748.40
  4. Step 4: Simplify right side
    7,678.40x = 31,655,466.55
  5. Step 5: Solve for x
    x = 31,655,466.55/7,678.40
  6. Step 6: Final answer
    x = 4,122.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.